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Journal of the Indonesian Mathematical Society
ISSN : 20868952     EISSN : 24600245     DOI : -
Core Subject : Education,
Journal of the Indonesian Mathematical Society disseminates new research results in all areas of mathematics and their applications. Besides research articles, the journal also receives survey papers that stimulate research in mathematics and their applications.
Arjuna Subject : -
Articles 10 Documents
Search results for , issue "VOLUME 29 NUMBER 3 (NOVEMBER 2023)" : 10 Documents clear
Minimum Roman Dominating Distance Energy of A Graph Lakshmanan R; Annamalai N
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 3 (NOVEMBER 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.3.1190.338-346

Abstract

In this correspondence, we introduced the concept of minimum roman dominating distance energy ERDd(G) of a graph G and computed minimum roman dominating distance energy of some standard graphs. Also, we discussed the properties of eigenvalues of a minimum roman dominating distance matrix ARDd(G). Finally, we derived the upper and lower bounds for ERDd(G).
Homomorphisms of Complex Kumjian-Pask Algebras Rizky Rosjanuardi; Endang Cahya Mulyaning Asih; Al Azhary Masta
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 3 (NOVEMBER 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.3.1262.328-337

Abstract

Let Λ and Γ be row finite k-graphs without sources. We show that ∗-algebra homomorphisms ϕ : KPC(Λ) → KPC(Γ) extend to ∗-algebra homomorphisms ϕ¯ : C∗(Λ) → C∗(Γ). We also examine necessary and sufficient conditions for algebra homomorphisms between complex Kumjian-Pask algebras KPC(Λ) and KPC(Γ) which are ∗-preserving.
A Unified Distance Approach for Ranking Fuzzy Numbers and Its Comparative Reviews Shiv Prasad Prasad; Shatabdi Sinha
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 3 (NOVEMBER 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.3.1337.347-371

Abstract

Even though a large number of research studies have been presented in recent years for ranking and comparing fuzzy numbers, the majority of existing techniques suffer from plenty of shortcomings. These shortcomings include counterintuitiveness, the inability to distinguish the fuzzy number and its partnered image, and the inconsistent ability to distinguish symmetric fuzzy numbers and fuzzy numbers that represent the compensation of areas. To overcome the cited drawbacks, this paper suggests a unified distance that multiplies the centroid value (weighted mean value) of the fuzzy number on the horizontal axis and a linear sum of thedistances of the centroid points of the left and right fuzziness areas from the originalpoint through an indicator. The indicator reflects the attitude of the left andright fuzziness of the fuzzy number, we can call it the indicator of fuzziness. To usethis technique, the membership functions of the fuzzy numbers need not be linear.That is the proposed approach can also rank the fuzzy numbers with non-linearmembership functions. The suggested technique is highly convenient and reliable todiscriminate the symmetric fuzzy numbers and the fuzzy numbers having compensationof areas. The advantages of the proposed approach are illustrated throughexamples that are common for a wide range of numerical studies and comparisonswith several representative approaches, that existed in the literature.
A New Notion of Inner Product in A Subspace of n-Normed Spaces Muh Nur; Mochammad Idris
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 3 (NOVEMBER 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.3.1412.372-381

Abstract

Given an n-normed space X for n>= 2$, we investigate the completness of Y (as subspace of X) respect to a new norm that corresponds this new inner product on Y. Moreover, we discuss the angle between two subspaces in Y.
Forecasting Dependent Tail Value-at-Risk by ARMA-GJR-GARCH-Copula Method and Its Application in Energy Risk Bony Parulian Josaphat
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 3 (NOVEMBER 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.3.1451.382-407

Abstract

One widely known risk measure is Tail Value-at-Risk (TVaR), which isthe average of the values of random risk that exceed the Value-at-Risk (VaR). Thisclassic risk measure of TVaR does not take into account the excess of another randomrisk (associated risk) that may have an effect on target risk. Copula function expresses a methodology that represents the dependence structure of random variablesand has been used to create a risk measure of Dependent Tail Value-at-Risk (DTVaR). Incorporating copula into the forecast function of the ARMA-GJR-GARCHmodel, this article argues a novel approach, called ARMA-GJR-GARCH-copulawith Monte Carlo method, to calculate the DTVaR of dependent energy risks. Thiswork shows an implementation of the ARMA-GJR-GARCH-copula model in forecasting the DTVaR of energy risks of NYH Gasoline and Heating oil associated withenergy risk of WTI Crude oil. The empirical results demonstrate that, the simplerGARCH-Clayton copula is better in forecasting DTVaR of Gasoline energy risk thanthe MA-GJR-GARCH-Clayton copula. On the other hand, the more complicatedMA-GJR-GARCH-Frank copula is better in forecasting DTVaR of Heating oil energy risk than the GARCH-Frank copula. In this context, energy sector marketplayers should invest in Heating oil because the DTVaR forecast of Heating oil ismore accurate than that of Gasoline.
Topological Indices of Relative g-noncommuting Graph of Dihedral Groups Nur Ain Supu; Intan Muchtadi-Alamsyah; Erma Suwastika
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 3 (NOVEMBER 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.3.1594.271-288

Abstract

Let G be a finite group, H be a subgroup of G and g be a fixed element of G. The relative g-noncommuting graph Γ(g,H,G) of G is defined as a graph with vertex set is G and two distinct vertices x and y are adjacent if [x, y] ̸= g or [x, y] ̸= g−1, where at least x or y belong to H. In this paper, we will discuss the relative g-non-commuting graph of the dihedral groups D(2n), in particular case when n is an odd number. We give several topological indices of the relative g-noncommuting graph of the dihedral groups D2n including the first Zagreb index, Wiener index, Edge-Wiener index, Hyper-Wiener index, and Harary index.
Revisiting Kantorovich Operators in Lebesgue Spaces Maximillian Ventura Obie; Erick Angga Taebenu; Reinhart Gunadi; Denny Ivanal Hakim
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 3 (NOVEMBER 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.3.1596.289-298

Abstract

According to the Weierstrass Approximation Theorem, any continuous function on the closed and bounded interval can be approximated by polynomials. A constructive proof of this theorem uses the so-called Bernstein polynomials. For the approximation of integrable functions, we may consider Kantorovich operators as certain modifications for Bernstein polynomials. In this paper, we investigate the behaviour of Kantorovich operators in Lebesgue spaces. We first give an alternative proof of the uniform boundedness of Kantorovich operators in Lebesgue spaces by using the Riesz-Thorin Interpolation Theorem. In addition, we examine the convergence of Kantorovich operators in the space of essentially bounded functions. We also give an example related to the rate of convergence of Kantorovich operators in a subspace of Lebesgue spaces.
Effects of Inversion Layer on The Atmospheric Pollutant Dispersion from A High Chimney Fidelis Nofertinus Zai; Agus Yodi Gunawan
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 3 (NOVEMBER 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.3.1597.299-310

Abstract

An inversion layer is a layer in the lower atmosphere at a certain height through which there is no transport of pollutants. It plays as a significant factor in the formation of air pollutants where they are trapped. In this paper, a mathematical model describing an atmospheric pollutant dispersion from a high chimney in the presence of an inversion layer is constructed. The aim of the model is to predict the concentration of pollutants at ground level. The advection-diffusion equation governs the concentration of a pollutant released into the air. An analytical solution procedure via the integral transforms is presented for the steady-state case. Solutions are entirely determined by two parameters, i.e., the source strength emanating from the chimney and the height of the inversion layer. The pollutant concentration on the ground level with some multiple source formations will be explored, and also for various values of inversion layer height. Results show that the lower the inversion layer, the higher the pollutant concentration on the ground level is.
On The Adjoint of Bounded Operators On A Semi-Inner Product Space R. Respitawulan; Qori Y. Pangestu; Elvira Kusniyanti; Fajar Yuliawan; Pudji Astuti
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 3 (NOVEMBER 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.3.1598.311-321

Abstract

The notion of semi-inner product (SIP) spaces is a generalization of inner product (IP) spaces notion by reducing the positive definite property of the product to positive semi-definite. As in IP spaces, the existence of an adjoint of a linear operator on a SIP space is guaranteed when the operator is bounded. However, in contrast, a bounded linear operator on SIP space can have more than one adjoint linear operators. In this article we give an alternative proof of those results using the generalized Riesz Representation Theorem in SIP space. Further, the description of all adjoint operators of a bounded linear operator in SIP space is identified.
A note on some Endpoint Estimates of Commutators of Fractional Integral Operators Verrel Rievaldo Wijaya; Denny Ivanal Hakim; Marcus Wono Setya Budhi
Journal of the Indonesian Mathematical Society VOLUME 29 NUMBER 3 (NOVEMBER 2023)
Publisher : IndoMS

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22342/jims.29.3.1599.322-327

Abstract

It is known that fractional integral operators are not bounded from Lebesgue integrable functions to Lebesgue space for some particular related exponent. Based on some recent results by Schikorra, Spector, and Van Schaftingen, we investigate commutators of fractional integral operators on Lebesgue integrable functions. We establish a weak type estimates for these commutators generated by essentially bounded functions. Under the same assumption, we also prove that the norm of these commutators are dominated by the norm of the Riesz transform.

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